diff --git a/sorts/bucket_sort.py b/sorts/bucket_sort.py new file mode 100644 index 000000000..a8fe614cc --- /dev/null +++ b/sorts/bucket_sort.py @@ -0,0 +1,55 @@ +# Author: OMKAR PATHAK +# This program will illustrate how to implement bucket sort algorithm + +# Wikipedia says: Bucket sort, or bin sort, is a sorting algorithm that works by distributing the +# elements of an array into a number of buckets. Each bucket is then sorted individually, either using +# a different sorting algorithm, or by recursively applying the bucket sorting algorithm. It is a +# distribution sort, and is a cousin of radix sort in the most to least significant digit flavour. +# Bucket sort is a generalization of pigeonhole sort. Bucket sort can be implemented with comparisons +# and therefore can also be considered a comparison sort algorithm. The computational complexity estimates +# involve the number of buckets. + +# Time Complexity of Solution: +# Best Case O(n); Average Case O(n); Worst Case O(n) + +from P26_InsertionSort import insertionSort +import math + +DEFAULT_BUCKET_SIZE = 5 + +def bucketSort(myList, bucketSize=DEFAULT_BUCKET_SIZE): + if(len(myList) == 0): + print('You don\'t have any elements in array!') + + minValue = myList[0] + maxValue = myList[0] + + # For finding minimum and maximum values + for i in range(0, len(myList)): + if myList[i] < minValue: + minValue = myList[i] + elif myList[i] > maxValue: + maxValue = myList[i] + + # Initialize buckets + bucketCount = math.floor((maxValue - minValue) / bucketSize) + 1 + buckets = [] + for i in range(0, bucketCount): + buckets.append([]) + + # For putting values in buckets + for i in range(0, len(myList)): + buckets[math.floor((myList[i] - minValue) / bucketSize)].append(myList[i]) + + # Sort buckets and place back into input array + sortedArray = [] + for i in range(0, len(buckets)): + insertionSort(buckets[i]) + for j in range(0, len(buckets[i])): + sortedArray.append(buckets[i][j]) + + return sortedArray + +if __name__ == '__main__': + sortedArray = bucketSort([12, 23, 4, 5, 3, 2, 12, 81, 56, 95]) + print(sortedArray)